Wow, I'm stupid. CD/burner help

Okayyyyyy... so I have two computers at my house, and I wanted to set up this one computer game on both PCs so I could have both running at the same time. I installed the game fine on both PCs, and if I put the game CD in either one, it works flawlessly, so no problem there.

The thing is, I can't run both at once (obviously). I tried looking everywhere for a no-CD exe file, to no avail. I figured I'd just burn the CD and use the burned copy on one PC and the original on this one. Simple enough solution.

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Anywho, long story short; I don't have a burner on this PC, and I do have one on my other PC. However, that's the only drive on the other PC. Normally you'd just put the original CD in the cd-rom drive, the blank in the burner, and voila.

So my predicament is, how do I go about copying the CD contents to the hard drive, then burning the contents to the blank? I know it's possible, there's programs that do it or something, just not sure where to look. Hell, I think I even posted this exact thread before but I'm a gimp, so y'know. Just link me to a site with a program or something and I will give you 5 trillion rep or something